Radii of γ -Spirallike of q -Special Functions

Sercan Kazımoğlu ()
Additional contact information
Sercan Kazımoğlu: Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36100 Kars, Türkiye

Mathematics, 2024, vol. 12, issue 14, 1-15

Abstract: The geometric properties of q -Bessel and q -Bessel-Struve functions are examined in this study. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For these normalized functions, the radii of γ -spirallike and convex γ -spirallike of order σ are determined using their Hadamard factorization. These findings extend the known results for Bessel and Struve functions. The characterization of entire functions from the Laguerre-Pólya class plays an important role in our proofs. Additionally, the interlacing property of zeros of q -Bessel and q -Bessel-Struve functions and their derivatives is useful in the proof of our main theorems.

Keywords: radii of ?-spirallike; ?-spirallike functions; q-Bessel functions; q-Bessel-Struve functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/14/2261/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/14/2261/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:14:p:2261-:d:1438984

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().